Ankit invests some money at 9 simple interest for 2 years and the same sum for 4 years at 10 per ann...........

Quantitative Aptitude (MTS) Simple Interest

Ankit invests some money at 9% simple interest for 2 years, and the same sum for 4 years at 10% per annum. He earns Rsl,740

in all. The sum invested in each case is:

This questions was previously asked in

SSC MTS 11th October 2021 Shift-1

Rs4,350

Rs3,000

Rs6,000

Rs4,500

- Ankit invests a sum of money earning simple interest in two scenarios.

- First scenario: 9% interest for 2 years.

- Second scenario: 10% interest for 4 years.

- The total interest earned from both investments is Rs 1,740.

Let's calculate:

1. Let the sum invested be Rs X.

2. Interest from first investment = $ X \times \frac{9}{100} \times 2 = 0.18X $.

3. Interest from second investment = $ X \times \frac{10}{100} \times 4 = 0.40X $.

4. Total interest = 0.18X + 0.40X = 0.58X.

Now, set 0.58X equal to the total interest earned:

$$ 0.58X = 1,740 $$

$$ X = \frac{1,740}{0.58} $$

$$ X = 3,000 $$

Option:2 - Rs 3,000

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